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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 19404t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19404.h1 | 19404t1 | \([0, 0, 0, 15729, -501914]\) | \(47061251888/39135393\) | \(-357876575578368\) | \([]\) | \(57600\) | \(1.4803\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19404t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19404t do not have complex multiplication.Modular form 19404.2.a.t
sage: E.q_eigenform(10)