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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 25410.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25410.q1 | 25410q1 | \([1, 1, 0, -36907, -4080611]\) | \(-214358881/151200\) | \(-3921738599671200\) | \([]\) | \(190080\) | \(1.6921\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25410.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25410.q do not have complex multiplication.Modular form 25410.2.a.q
sage: E.q_eigenform(10)