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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 372810.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372810.r1 | 372810r1 | \([1, 1, 0, -77918799904637, -264576561096415870371]\) | \(2167489232916550298498135256818779540729/1502021162552927601049804687500000\) | \(36255139450581506122344133081054687500000\) | \([]\) | \(74027520000\) | \(6.7195\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 372810.r do not have complex multiplication.Modular form 372810.2.a.r
sage: E.q_eigenform(10)