Show commands:
SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 30400.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30400.t1 | 30400bs1 | \([0, -1, 0, -833, 13537]\) | \(-31250/19\) | \(-38912000000\) | \([]\) | \(18432\) | \(0.73411\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30400.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 30400.t do not have complex multiplication.Modular form 30400.2.a.t
sage: E.q_eigenform(10)