Show commands:
SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 40310l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40310.h1 | 40310l1 | \([1, 1, 0, -2497, -55519]\) | \(-1722864296274841/285104971100\) | \(-285104971100\) | \([]\) | \(46080\) | \(0.92523\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40310l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40310l do not have complex multiplication.Modular form 40310.2.a.l
sage: E.q_eigenform(10)