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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 331240.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
331240.t1 | 331240t1 | \([0, -1, 0, 36279, 8329021]\) | \(12459008/78125\) | \(-33111909740000000\) | \([]\) | \(2096640\) | \(1.8517\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331240.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 331240.t do not have complex multiplication.Modular form 331240.2.a.t
sage: E.q_eigenform(10)