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SageMath
E = EllipticCurve("er1")
E.isogeny_class()
Elliptic curves in class 382200er
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
382200.er1 | 382200er1 | \([0, -1, 0, 7992, -65988]\) | \(71997884/43875\) | \(-34398000000000\) | \([]\) | \(1078272\) | \(1.2866\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 382200er1 has rank \(1\).
Complex multiplication
The elliptic curves in class 382200er do not have complex multiplication.Modular form 382200.2.a.er
sage: E.q_eigenform(10)